The can of peas below has a surface area of 180.64 cm^2. If the diamet3r of the can is 5 inches, find the height of the can.

Given the parameters given, no such can would exist due to it being too wide.

Step-by-step explanation:

To find the answer, use the formula for the surface area of a cylinder.

A = 2πrh + 2πr^2

Now input the known values and solve for h. First, make sure to use all the same units. Since the diameter of the can is written in inches, we'll change it to cm. The diameter would be 12.7cm, thus the radius would be 6.35cm.

180.64 = 2π (6.35) h + 2π (6.35) ^2

180.64 = 40.13h + 254.83

-74.19 = 40.13h

-1.84 = h

Since the answer we get is negative, no such can exists.